New modeling and analytical solution of fourth grade (non-Newtonian) fluid by a stretchable magnetized Riga device

Yun-Jie Xu, Faisal Shah, M. Ijaz Khan, R. Naveen Kumar, R. J. Punith Gowda, B. C. Prasannakumara, M. Y. Malik and Sami Ullah Khan
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Yun-Jie Xu: School of Engineering, Huzhou University, Huzhou 313000, P. R. China
Faisal Shah: Department of Mathematics, Quaid-I-Azam University, 45320 Islamabad 44000, Pakistan
M. Ijaz Khan: Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad 44000, Pakistan4Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
R. Naveen Kumar: Department of Mathematics, Davangere University, Davangere, Karnataka, India
R. J. Punith Gowda: Department of Mathematics, Davangere University, Davangere, Karnataka, India
B. C. Prasannakumara: Department of Mathematics, Davangere University, Davangere, Karnataka, India
M. Y. Malik: Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Kingdom of Saudi Arabia
Sami Ullah Khan: Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan

International Journal of Modern Physics C (IJMPC), 2022, vol. 33, issue 01, 1-18

Abstract: The aim of this paper is to examine the influence of heat source/sink on boundary layer flow of a fourth-grade liquid over a stretchable Riga plate on taking account of induced magnetic field and mixed convection. Analysis of mass and heat transport is studied through modified Fourier heat flux model. The governing flow issue is demonstrated with the help of momentum, energy, temperature and concentration equation. The modeled equations are reduced into nondimensional ODEs by opting suitable similarity transformations. The analytic solutions are discussed by means of the optimal technique of homotopy analysis. The influence of several nondimensional parameters on velocity, thermal and concentration gradients are deliberated by using suitable graphs. Also, the skin friction is discussed with the help of graphs. The result outcomes reveal that, velocity of fluid diminishes for advanced values of viscoelastic parameter and fourth-grade liquid parameter but contrary movement is seen for third grade fluid parameters. Fluid temperature boosts up for thermal relaxation parameter and concentration is abridged for rising values of solutal concentration parameter and Schmidt number.

Keywords: Fourth grade fluid; Cattaneo–Christov model; Riga device; mixed convection; heat generation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0129183122500139

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